Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
126350ch |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19305216 |
Modular degree for the optimal curve |
Δ |
-3.1557479369676E+24 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16901005,-89551246003] |
[a1,a2,a3,a4,a6] |
Generators |
[12917147764147964097511348577:-3771271885511650581124377448690:151681549404459908625553] |
Generators of the group modulo torsion |
j |
-5573207889/32941720 |
j-invariant |
L |
8.9790818380618 |
L(r)(E,1)/r! |
Ω |
0.033329604300323 |
Real period |
R |
44.90043224613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25270d1 126350b1 |
Quadratic twists by: 5 -19 |